My opinion only, but if I had to bring an outside offer to get an inside raise, I'd take the offer. "We'll pay everyone what we can get away with, except the few who we need for the moment that make a stink." But then, I make too big a deal about personal relationships, and I forget that it's just bidness.
That said, I did get a raise once with an outside offer. But I left just inside a year later.